) Use algebra tiles to find \( (10 x+3)+\left(-x^{2}+9 x-10\right) \)

First, let's visualize the expression with algebra tiles. You'll need 10 tiles representing \(10x\), 3 tiles for \(3\), 1 tile representing \(-x^2\), 9 tiles representing \(9x\), and 10 tiles for \(-10\). Now, combine like terms! Start with the \(x^2\) term: you have \(-1\) tile for \(-x^2\). Next, gather the \(x\) terms: \(10x + 9x = 19x\). Lastly, for the constant terms: \(3 - 10 = -7\). Putting it all together, the combined expression is \(-x^2 + 19x - 7\). If you want to double-check your work, remember to focus on one type of tile at a time, and always align your terms!